{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import utils\n",
    "from sklearn.svm import SVC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Building an SVM to separate a linear dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Loading the linear dataset\n",
    "\n",
    "linear_data = pd.read_csv('linear.csv')\n",
    "features = np.array(linear_data[['x_1', 'x_2']])\n",
    "labels = np.array(linear_data['y'])\n",
    "utils.plot_points(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy: 0.9333333333333333\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "svm_linear = SVC(kernel='linear')\n",
    "svm_linear.fit(features, labels)\n",
    "print(\"Accuracy:\", svm_linear.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_linear)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "C = 0.01\n",
      "Accuracy: 0.8666666666666667\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "C = 100\n",
      "Accuracy: 0.9166666666666666\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# C = 0.01\n",
    "svm_c_001 = SVC(kernel='linear', C=0.01)\n",
    "svm_c_001.fit(features, labels)\n",
    "print(\"C = 0.01\")\n",
    "print(\"Accuracy:\", svm_c_001.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_c_001)\n",
    "\n",
    "# C = 100\n",
    "svm_c_100 = SVC(kernel='linear', C=100)\n",
    "svm_c_100.fit(features, labels)\n",
    "print(\"C = 100\")\n",
    "print(\"Accuracy:\", svm_c_100.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_c_100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Building polynomial kernels for a circular dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Loading the one_circle dataset\n",
    "\n",
    "circular_data = pd.read_csv('one_circle.csv')\n",
    "features = np.array(circular_data[['x_1', 'x_2']])\n",
    "labels = np.array(circular_data['y'])\n",
    "utils.plot_points(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Polynomial kernel of degree = 2\n",
      "Accuracy: 0.8909090909090909\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Polynomial kernel of degree = 4\n",
      "Accuracy: 0.9\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEHCAYAAABIsPrhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO3deXgUZbYG8PdkI4RNUAQVvKAoEBVlaLYBw46MCihzR0REcBnUQcEr6ijcceO6jDogqKPgEJUYNgXBARQXEGQR0ih6FUQFroCKoGGHkKXP/SOL6TW9VHdVdb2/58kzU9XV1UfSqfPtn6gqiIjImVLMDoCIiMzDJEBE5GBMAkREDsYkQETkYEwCREQOlmZ2AJE67ZRTtMWZZ5odBhGRrWzauvUXVW3se952SaDFmWfCnZdndhhERLYiLtf3gc6zOYiIyMGYBIiIHIxJgIjIwWzXJ0BEVKkEwJ6UFBSJACJmh2M+VWSqopnHg/Qw38IkQES2tSclBfVOPx0tGjSAMAlAVfHroUPYs28fWno8Yb2HzUFEZFtFIjiVCaCKVPx7FEXw78EkQET2JcIE4EMibBpjEiAicjAmASKiGNRt0iTk6//3/fe4sGPHiO456tZb8eZbb/mdf2PhQlzgciGlXj24P/00onsGwyRARGQTF2ZnY+Hs2cjp1s2wezIJEJGj7Nu3D+26d8f+/fsNve/Ro0fR54or8Ltu3XBRp05YvGRJ1WulpaUYOXo02nXujP8cPhzHjx8HAGz67DP0uOwydOjeHZcNHoyf9u4N+Rlt27RB6/PPNzRuJgEicpTHp03DV9u34/Fp0wy9b2ZmJt6aMwefrl2LlcuWYfyECajcvnfbt99i9I034osNG1C/fn388+WXUVJSgjvvuQdvvv46Nq1Zg5tGjMDERx4xNKZwcJ4AETnGvn37MOO11+B57z1Mv+IKTBg7Fo0b+y2sGRVVxYSHH8bqtWuRkpKCH378ET/v2wcAaN6sGbp17QoAuH7oUEx76SUM6NsXX27Zgn6DBgEAysrKcEbTpobEEgkmASJyjMenTYNn2DCgSxd4hg7F49OmYcqkSYbcO3/ePOz/5RdsWrMG6enpaJGdjaKiIgDwG8YqKE8aF7Rti/UrVhjy+dFicxAROUJlLeDkAw8AAE4+8ACmv/aaYX0Dhw4dwumNGyM9PR0rV63C97t2Vb22a/durN+wAQAw58030f33v0fr88/H/l9+qTpfUlKCr7ZsMSSWSDAJEJEjPD5tGjxXXw00bAgcOwY0agTPVVcZ1jcwfOhQuD/7DK5LL0X+/PloU60Dt23r1ngtPx/tOndGYWEhbr/lFmRkZODN11/HX//2N1zcpQsu6doV6yoSQjBvvf02mp1/PtZv3Igr/vhHXDZ4cMxxS2XHhV24srOVm8oQEQBsTUtD21atwrr2opwcbPv6a7/zrdu0wf+uXm10aKba+t13aFta6nVOXK5NquryvZZ9AkTkCMn2oDcKm4OIiByMSYCIyMGYBIiIHIxJgIjIwUxNAiKSKSIbReRzEflKRBI/Z5qIyMHMrgmcBNBbVS8GcAmAASLSxeSYKAK9cnLQweXy+umVk2N2WEQJk8ilpAsLC9Fv4ECcd/HF6DdwIA4cOBDRfQMxNQlouaMVh+kVP/aauOBwh48fxybA6+dwxQqJFBsmWPL15OTJ6NOzJ779/HP06dkTT06eHPM9za4JQERSRWQzgH0A3ldVvylzIjJaRNwi4t5vQOZzEj5I7IsJ1l4SsZT04qVLMXL4cADAyOHDsajaZ0TL9CSgqmWqegmAZgA6iciFAa6ZoaouVXU1btgw8UHaGB8kRL9p1LQppG5dr59GBq3cmYilpH/et69qpdEzmjbFPgPWPbLMjGFVPSgiHwEYAOBLk8MhoiR04OhRv/ZmOXo04LWR4lLSURCRxgBKKhJAbQB9AfzdzJgoMvWzstDBp2ZRPysLQHkn1u1jx+Kl555DQ9bgyCTbtm1DmccT989JxFLSTU4/HT/t3YszmjbFT3v34nQD9kIwuznoDAArReQLAAUo7xOIvZGLEmbl6tXY5HZ7/aysWKMlNy8PO3btQi4X/ItK/awsdAC8fioTLIWvzONBNoDsOH9OIpaSHnT55XgtPx8A8Fp+PgZfcUXMcZtaE1DVLwC0NzOGZBeqpB6OXjk5fn0I9bOyqh70wRQWFuKtRYvgeeEFLBw3DjeNGBGX2kC08dlBMvw3OMnwoUMx8Jpr4Lr0UlzSrl3ApaRvHTsW5517rtdS0mPvuQeHDh9GaWkp7hozBhdkB09X9999N6654QbMnDULZzdrhjcMKGBZpk+A4iPWB0llx3J1vkklkNy8PHgGDAAuugie/v2Rm5eH8WPHxhSLkfGRMzXMyoL4fD8a1q0b0z2P/vwzAOC0004L2rSzZZPvt7TcJe3aYfV77/mdf3X69IDXn3rqqfhw6dIoIw2MScDC7FrKrawFFM+dCwAoHjUKC6+7Lm61AaJwFa5aBQDYAiC7bVtzg7EIJoEEieaBbtdSbm5eHjy9ewP16wMnTgANGsDTq1fcagNEoaSmpGCLT8dwaorZ3aHWwSSQIHZ9oEejwO2GZ+dOpC1fXnXOA2Bjy5bmBUW2FqwQ9c+1a6GqfqNvqmvdunW8w7MUVQUi2DGSSYBCiqZjeV4CRwPF2vFN9hCsEJWpil8PHcKpDRqETAROoRX/HplMAs5k1z6EWCTzfxvVrJnHgz379mH//v0AkwCgikxVNItgXgSTgIVFWsqNR5OTk5qxyH7SAbRMwESwZMYkkCDRNFuwlEtE8cYkkCB8oBNFj30/8cMkQCGloXy5At9zRInEQlT88O/Z5nw7gzug/JdaWnEca2mpFPDvE4jpjkSJ4cSBEtFgErC5gB23ADa53WaEQ2QZHNQQHiYBIpOwpEpWwCRAZBKWVMkKmAQoJI7KIEpuTAI2F++HdDj7BnD3MLIiFmDCwyRgc2a3H1ffPYwrhJKVmP23YRdcT5Wi5rV72KJFOHDggNkh2Qq3jyQrMHuj+eYAZgFoivLVhmeo6lQzY6LwJWr3sGTFkipZgdk1gVIA41W1LYAuAMaISLz3gyYDVO0eNmoUgIrdw1gbILIdszea/wnATxX//4iIbAVwFsp3fyMLc8LuYRzHT05gmY5hEWkBoD2ADeZGQuFwwu5hHMdPTmCJJCAidQEsAHCXqh4O8PpoAKMB4OymTRMcXeScUIJM5O5hZD4nfKedyvQkICLpKE8A+aq6MNA1qjoDwAwAcGVnh79vmklYgqRkE+13msnD+sweHSQAZgLYqqqTzYwlGVjtD87seMz+fGKByA7Mrgl0AzACwP+KyOaKcxNUdZmJMdmW1f7gzI4n1s8PZ8YpEw3Zndmjg9YA4O7QZLgde/ZgN4AbACwBUFRxvghAVrduAID6depg2IABqF+nDi69+GL07dIFAKCqEJGwHuRmJzqiWJldE0hKXLMksVQVD0+fjsn5+Th64oTXa4G6r0+cPFn1v8/Onh3wnqkpKWjSqBFuGTwY940ciToO//1Z9TvNmljsmATigF/AxFi3eTN63X47iktKDL93mceDH3/5BY/OnIlHZ84EAIgIslu2xMcvv4yGDRoY/plWFu13Ot7JgzWx2DEJJBGrldbiFc+U2bNx9+TEjyNQVXy1Ywca9elTdS4TwHEA5peJrYkFIutjEkgi0fzBxbM6bfQD4PiJEzi9f38c82ny8ZWamobmzVth0qTZaNmyNdLTayE1NdXvutLSEpSWluDIkcN4+ukx2L79K/zww06UlhaHHVMRgDrVjs8AcH7t2mG/n8hsTAIOZ5fq9C2TJmHm4sUhrqiLOpkXY9WaNWHfMy0tHWlp6cjMzMJTTy3we72kpARz5kzDa689gcOHC6Fa8xSVnwD8dOIExOVCyzPPxPrcXDQ57bSwYyJKNCYBsrw63bvjeFGR3/lUAI+jBfqgEQDAVRS6hhCp9PR03HDDeNxww/iqc2vWvIMpU+7G7t3fwOPxhHz/zh9/RNMBAwAAp51yCj6aPh0XnHuuoTE6XaKaQJO5A5pJgCzL4/EgrXPnICXws7EBiS9hd+/+B3Tv/oeq4+XL52Hy5Lvw6697Q77vl4MHceHQoQCAellZmP3447iye/e4xuoEsTyEI3mw26XGHA2zl5ImCiq1Uye/BFCrViYKCjyACQkgkMsuG4rly3+C261Ys+Y4Onbsi7S09JDvOXL8OAbedRfE5cL5V12FX7j8tikqH+zVf3yTghOwJuBwVhtRBJSPwknt1MnvfJs2v8Prr/uWx6wjM7M2Xnzx/arjDz9ciIceugFFRceCvufbPXvQuF8/AEDzJk2w9Y03HD8ngRKLScDhrNimWatrV78aQOfO/fDCC+9VHdfLqgPXce+Ha72sOrCSPn2GoE+fIQCA7777Erfd1gsHD/4S9PrdP/+Mujk5AIDeHTvi/RdeQEoKK+sUX0wCZCkDxoxBSWmp17nWrS/xSgCANZNXKK1aXYgPPtgPAPjhh50YNuxiHD9+JOj1KwoKkNqpE9LT0rBs6lT07dw5UaFSAFasMRuFSYAs4+TJk1i+wXtPoYyMTOTnf2ZSRPFx1lktsXp1+bYZ77yTj8ce+zOKgoxsKiktRb8xYwAAfTp2xLKpU5GRkZGwWJNZJA92uxU6IiHhjH22Eld2trq5oUlSSnG54PttdLvj//0sLCzEX8beiRefex4NGzaM++cFoqp45JGbsGzZrBqHnmZlZqJg1ixkn3NOgqKzvmQewmkUcbk2qarL9zwbHMkSnsjN9UsAM2euS8hn5+blYfuu3cg1sXAhInj44VewcWMZ1q07iVat2gW99nhRES645hqkduqERStXJjBK6+JIn+gxCZAlTPjnP72O69VriIsv7up1rrCwENdePxwHDBxSWVhYiLcWLYK+8AIWLlpk6L2jlZGRgblzP4fbrXj55Y+Rnl4r4HUejwdX33svxOXC2KefTnCUlCyYBMh0I/72N79zK1b86ncuHiX23Lw8eAYMAC66CJ7+/U2tDQTSvn13rF9fBLdbcemlg4Je99y8eRCXy5SF9cjemATIdK+/847X8VVX/RnlO4/+Jh4l9sp7lowaBQAoGTXKMrWBQKZMWQy3W/HUUwv9/n2qrpk9G+JyYfyUKQmOjuyKSYBMlXPLLX7nJk6c7ncuHiX23Lw8eHr3BurXB06cABo0gKdXL8vVBnz17n01Cgo8ePnlNcjICNxUNDk/H+mdO+PTrVsTHJ056mdloQPg9ZMsQzjjjUNEyVQfb97sdXzHHU8GrQWUzJ0LoKLEft11uGnEiJhG8xS43dCdO5C2/N2qcwpgY0t7jLpp374b1q0rwp49OzF8+CU4duyw1+ulZWXoMGIE0tPTsfedd9DolFNMijT+OAooeqYnARHJBXAlgH2qeqHZ8ViBU4a7fegzJwAARo36q9+5UCX28WPHRv358yxe4g9Xs2YtsWrVIWzZ8ilGj74URUXe352SkhKc2rcvrrz0UvybzUTkw/QkAOBVAM8DmGVyHJaRzCsWVtf/jju8jrt06R/wOruX2BMlO/t3WLPmGDZsWIExY/oCPoNul3z8MVI6dsQXc+bgwlatzAnSBE4pVEXL9D4BVV0NoNDsOCi+CgsLMfT666s6XT0eDzw+ExWnTPl3wPfOy8vDJ2vW+v0kS0k+FoGGzXbu3BtutweTJy/xu15VcdG112Le8uWJDNNUnEMQmulJIBwiMlpE3CLi3m/RkRsUWm5eHnbs2lXV6Trov/7L6/XU1DSkp3M5hEiFGjabk3MF3G5F27Z+k0Rx7cSJaH755YkIMWq9cnLQweXy+ulVscAeGccWSUBVZ6iqS1VdjU2a1k/Rq+zY9VQb3rl07Vqva6ZOXWZSdPYV7rDZvLwCzJv3ld/5Pfv2Ia1zZ5SUlMQ71KiwBJ8YtkgCTpNsw918h3c++I9/+F3TpUs/EyKzt3CGzVY2FzVqdAY++ugwMjIyvV4vKytDRteu+P7HHxMVNlkMk4AFrVy9Gpvcbq8fu3ZiVZZWiysmZBWPGoUX333X65o2bTqYEJm9hTvRrXpzUd269bBu3Qk0b36e3/1aDBqEr3fuTEToCZdshSqjmZ4ERGQOgPUAWovIHhG52eyYyDiBhneW+VzzyiuJWSgumYQz0c23uWjHjh249vrhyM3dgN69h/jds+2f/oQjR48m8j8jIZKpUBUPpg8RVdVhZsdA8VPgdsOzcyfSKkajnCzzTQFgh3AUwhk269tc9N+TJlXVCp56agGWLcvHgw9e73Xf+j17onj9eqSnh94nORESvZGLU4eSmp4EKLn5DuNsf911wDffVB2fdda5MX9GovYDsMK+A5VqGh7rN8v6qqvwzc03Ay+9hIXjxuGmESNw+eXDkZqahokTr/V6b0bXrlC3O26xhyvRD1+nzM/xZXpzEDnL5moJAACmTl0a8z0TtR+AFfYdCJdfc9HSpcDll/t1Il922VCMG+e/DHXDnj0THDGZhUmAEsZ372AAaNGidUz3TNR+AFbcdyCUArcbuvxdpPXri9S+fYEFC4CKxfp8O5FHjLgH559/idf7Dx49ihfmz0943JR4TAKUMC+9+abXcVZWvZjvmaj9AKy+74Cv6rOs/3TNNUj/wx9CdiLPnv0ZRLwfB3c89RQi3X7WbhO8qsfrVEwClDD//eKLXscjR/ovFheJRO0HYLd9B3xVrxVU/ujyd7GxoMDruo0b/Wtq/3HllRF9lt0meFWPtz7gyKGk7BimhDl87JjX8c03T4zpfvFaXdSsz4mXcNdYOnDgAJDaHCjbXXVu988/4/iJE8iqXTte4VlG5W7NHQBsskDHeKIwCVBCHD9xwvB7Jmp1UaesYpqbl4f0IWNQ8sb9XudbDhyInz/4wKSoKN6YBCghxj/7rNdxkybNY75nolYRdcJqpV5DSi/vCdzYpeq1fQcPQlWDbmlJ9sY+AUqIee+953X86KOvmxQJBeLV5NWqnd/rV9x1V1j3sdsSDXaLNx5YE0gylbMe0wD4dvOZOfvxwJEjXsft2nUJciWZwbfJq1TOBnRX1evv+Kz6GozdZtfaLd54YBJIMpWjHToAlp79yKUirCVQk5fLxeYfJ2ASiAOnrkESzOZt27yOU1PNX5eGapaRUQvFxSerjue++y6uHTDAxIgoHtgnEAd2Gysdb9/u2uV13KFDfCYPBdpqkaI3ZMhtXscPz5hhUiQUT0wCFHf3TpvmdXzFFSMDXhfrQ9xOa/vYwT33eI/o2uaTzCk5sDkoyVQuv5uG8n4B39fMsGffPq/jjh37BLyu+kM80klYXmv7VKySafZKn5R8krGpl0kgyVjxy6gej9fx6aef6XdNrA/xQGv72GE2r9WlpaWjtNSaexCbIRmXm66xOUhE6ouI36LvIuI/mJgAcOyxL08Yi5DFskCb3df2sbK0NO9O/GTceczpQiYBEbkGwNcAFojIVyLSsdrLr8YzMDvjdna/OVFU5HPGf9hhrA/xcLZapOhkZtbxOn529myTIqF4qakmMAFAB1W9BMCNAPJEpHJzUkMGEYvIABHZJiLficj9Nb+D7MS3DtC+fXe/a2J9iIe7SiZF7okn5nkdF7ImkHRq6hNIVdWfAEBVN4pILwBLRKQZ/P++IyYiqQBeANAPwB4ABSLytqpuifXeZE21amX6nYt1gTYnrO0TCSO3wTzttDMMiio5BBpwYfeO1ZriPyIi56rqdgBQ1Z9EpCeARQAuMODzOwH4TlV3AICIzAUwGACTgIPwIW6sWEZZJTMjRvaUIsBM/NhDM1VNzUG3w6fZR1WPABgA4CYDPv8sALurHe+pOOdFREaLiFtE3PvZ2UcUlNHbYCbTyCBO4gwsZBJQ1c9V9bsA50tUNb/yWETWR/n5gfoV/JqZVHWGqrpU1dWYY7+JgjJ6G8y77x7kdVwrnUt+JBujZgz7N/SGZw+A6gvLNwPwY+zhEDlPPIbKHjjgPdFv3LXXxhIiWZBRSSDaTuICAOeJSEsRyQBwLYC3DYqJyFESMVT2jMaNDbuXHSXjHCBTO7ZVtVRE7gCwHEAqgFxV/crMmCi+ioqM32aSysVjG8ySkuTpE6hcUsX3XCSScb5PWElARLJ9h22KSE9V/ajyMNoAVHUZgGXRvp+szfeLsXlzeJuTUOTiMcqqrCyyJFBYWIjbx47FS889Z7m1m5LxAW6EcJuD5ovIX6VcbRF5DsAT1V4fEYfYKAnUzvTtLop5eglZWG5eHnbs2sXZ2jYSbnNQZwB/B7AOQD0A+QC6Vb6oql8aH5ozJeMqhSkiXusHlZaWIi3N7lNskt/Jkye9js85y2/0tpfKjmkPV3K1lXBrAiUATgCojfKRQDtV1RP6LRQNq41lLiwsxNDrr49phEm6zwN/3bp3Yg2LohTJng0TJniPBKpfp06QK8sZPTyVEiPcJFCA8iTQEUB3AMNE5M24RUWWYUT1/uHRo72OH33UiHmGFI1INt7Ztu0z7/c++GDQaytrAcUVw1OLuZKrbYSbBG5W1QcrJontVdXBABbHM7Bk1ysnBx1cLq+fXjnBt10M9Vq8eFXvY/iDvnXIEK/jgwd/MSI8ilCks4n37v3e67h9mzZBr+VKrvYVVsOsqroDnONvNwaRbk5hRpNQpBu1RNKfceTIIdSr18DwmCm4eG68U+B2w7NzJ9KWL6865wGwsWVLQ+5vNcnUd8feOYsJOJYZwOEEx1FVCygpAd54A8UAZgOYPWtW0C97qMR2QcuW+Grnzqrz/fs3wfr1vnsNULxUzSaeOxdAxWzi664L2nm7bt27XseZGRkh72/XRQCjfZgn0w5jTAIWs3L1anRwueKyUmEkX/jK6n3p4sWGfNkXT56MVldfXXVcUnISZWVlSE1NjfhelYxcMjnZhWquCVQbePvtV7yOr+rZ09B4onn4xqP0nUwP82gxCThIJF/4yuq9Uc5t3hwC71kCffuehpUrvdulI3mwc8nk8EU6m3jFCu9xHw/ecouh8UTz8I3kPcnUXBNvTAImCTWF3Yjp7bGqrN53cLkMu+dbTz+Nq+69t+r4yJGD2Lt3N5o2/W0NwXAf7LFuTO80kTbXeDzeI8Db2Kxt38gSvpVnQRuBScAkoUokdi2t1JS8Bvfq5feeK688G253ef0gkgd7PDs5ne7nn/d4HQsAEUN2k7Wl6sOkK79jViioGYVJwAbMrNpG8mUPJ57ja9Ygq7v3PsO33tob06evCPvBHmknJ0Xmrruu9Doe3KOHSZHEX03f72CzoO1aUAuEScAGjKraRlN6MfrLXjszE00bNcLewsKqc5s2rcQHH7wV9oM90k5OozilI/rbbz/3On7ijjsM/4xovouB3pMG/ybLSErkwb7ffgWvG29EaVpaUtY4mQQcxCqll5/eew/i84d7//1DkDrwobAe7PFYMjkcTu2Ijkd/QDTfxUDvCTiS7vjxmJtrAha8SkuxcNGipKtxMgmQKYrWrkVmt25e58r+/Qjk3Xerho0Ge7CbMSbdKR3RM2f+j9dxg7p1TYokNvEq8CSixploTAJkilq1amHhU09hyH33eZ3Xkg1Y9dEJ1KoV7Y6l8eGUjujp0x/2On7k1lvNCcSiPMuXJ90saCYBG0imkQjVXd27Nwbl5OBtn1Jbt261sWrVEdSpY41SqFM6ok+eLILHU+Z1bmwUewon8xj9DWvWmB2C4ZgEbMDIPx6r/YEunjwZd/3jH5g6Z47X+R496mHx4h046yzzS11mdUQn2iuvPOl1LCJRDQ1N5CzceBWQkrXgFYhpSUBE/gTgYQBtAXQKtEgdGc+K0+SfHT8e9WrXxv/k5nqdHzz4HAwceBMeemimSZGVM6sjOtH+9a9HvI7fePLJIFdaR7wKL8lQawmXmTWBLwEMATDdxBjIIib95S/IysrChOef9zr/73/nYsOG97BkyfdISQl35XNj2XVxtEgUF5/0Ozekd28TIqFEMy0JqOpWwNkzEcnbA6NGYUCXLvjd9dd7nd+3bw86dUrF+PFTMWxY8jS/WMnw4b/zOq5dq1ZS/W1arRnUSswpWkVIREaLiFtE3Pu5U1HSqb6FZfs2bVC0di0y0tP9rvvHP8YhJ6ceioq4BLXRdu7c4nW88dVXo75X/awsdAC8fsxuT7fatq1WEteagIh8AKBpgJcmqmrYO5Op6gwAMwDAlZ2tNVxOIVixw8t3bZZatWrh5Pr1GD9lCibn53tde/z4UXTvXhtDhozGhAlsSTTCihUL/c5deN55Ud+PpWt7EVVzn6ki8hGAe8LtGHZlZ6vbAW20TlFYWIiBf/wjiqZNQ+a4cViyYIHXsMvi4mKc3q8fDh07FuDdgqFDx+Lee59NXMBJyOXybva5pn9/zHv88bh9nhlNM8H26Njkds54FHG5Nqmq37LAtmgOothEup9xIgWahFVdRkYGDq5aFWSTc8W8eVPRsWMKXnwx+CboFNzevbv9zs197LG4fiabZqzFtCQgIleLyB4AXQEsFZHlNb2HomPVP7rKSVjFo0YBAIpHjQq6AfqNgwbBU1CAc5o183tNVTFz5iS4XIJnnhkX77CTypAh53sd16ldO6k6hCtZsZ/CKkxLAqr6lqo2U9VaqtpEVS8zKxYyR6hJWIGICLYvWoS1//oX0oJsSzl37jS4XIKnnroznqEnhWPHjqK42LuTfc/SpSZFE18rV6/GJrfb64d9F+U4Y5hMU7mFZdry3yqBHqDGtVl+f8klKNmwAWs/+ww9br0VZT67YAHA/PnPY/7859G8eSvMn78F6QFGGzldjx71/M41qOd/jpIbkwCZJtZJWN3at0fpxo1Y5Xaj3513oqSkxO+a3bu/Q9euGRARjB37NEaMGB/TZyaLJUte8zu3e+nShDQFWXGEmpOZPjooUhwdFDmnTJT5cvt2dBk5EsdqmEfQuPFZePXVT9CkiX//ghOUlZWhc2fv8l/bFi2w5c03g7yDkkGw0UFMAmQ6o5PU0WPHcN6QIdj7668hrxMRXH31aEyY8FJUn2NXXbvWQklJsdc5ddBQSafiEFGyLKNHL9WtUwc/LV+Oso0bMax//6BNHKqKhQunw+USdOlSC0uWzIr6M+t/3BMAAAxySURBVEMpLCzEtdcPDzjqKdFeeulhvwTwgs+eDuQsTAKUtFJSUjD78cfhKSjA/vffR6MQnZ6lpcV4+OGRcLkEvXufiq1bPzUsjurbUpppxYq3/FYKTU9Lw1+uucaQ+1t5PgoFxyRAjnBaw4b4deVKqNuNCTfeGLID9PDhQowY0QEul6B79zpYseKtqD/Xa1vKIHMgEuHbb7/EffcN8TtftG6dYZ9h1fkoFBqTgM2wtBW7x8aMgaegAIUffojWZ58d8tqiouO4774hcLkEXbtm4vXXJ0f0WTXNiE6Ezz5bg2HDLvI7/9X8+aYtz03WwW+AzSRjacus2ZwNGzTA1wsXQt1ubJw1C/Xr1Al5fUnJSTz77Hi4XIJOndIwZcp4hBpYUbUtZcWM6JIQM6LjZebMx/DnP1/qd377okXIPie5NsWh6HCeAJnOCkNVO2Zn49CqVQCA8Q89hKlLl6IsxPUeTxny8ycjP38yRFLQrt3v8cgjr6FZs98erGZuS1laWooePerj5MkTfq+t+de/Ai6/Qc7EJEBUTWFhIT5ZvRoXv/IKMseNwysvv4zL774b23/4Ieh7VD34/PM1uOqqcwEAGRmZ6Nv3GmzdXgr9/v8Svi3lxInXYfnyOQFf+2LOHFwUwzLRoXASmD0xCRBV49uG/++lS/Hd4vKtL44dP45uf/4zPt+2LeQ9iouLsGzZb8NNU1PTcM452Xj00Tycd167uMR97NhR3HRTV2zf/mXA17MyM3F41SqkBllzyQhWqNFR5NgnYDNcDTF+alrVtE5WFjbn50PdbpRu2IBBl16KcBZZKCsrxbfffoFhwy6GyyVVo47uvPNyrF//XtTxrly5CAMHtoDLJejRo17QBNChTRscW7MmrgmA7IszhokqPDN1KhYcPozie+6pOpfxzDP4zwYNQrbhqyq+2r4dPUaPRuHhw4bEkp5eC1lZdauOi4qO4+TJIpQ3KIUnu2VLfPXGG4bEQ/YXbMYwm4OIKkS7qqmI4MJWrfDrihUAypPCfc8+ixcXLKhxHaNgSkpO4tChk1G995R69bBp1iyc07x5VO9PBKesZ2UHrAkkKf6RWcuWHTsw5oknsOaLL1BaFmrcUXQy0tPxyG234f6RIw2/dzz4bvfYC4BvHYrfV2OxJuAwlfMJqvMduUHGC5V8V778ctU5VcXBw4dx5zPP4ItvvsE3u3ahtKwMHlWc1qAB9h88GPD+IoKUlBQ0adgQA7p2xdR77kHdGuY32MFhgN9XkzAJEBko3OQrImjYoAFenzQpMYElGdZ0jWNaEhCRpwEMBFAMYDuAG1U1cPGHiKga1nSNY2ZN4H0AD6hqqYj8HcADAP5qYjxEEQtUIu0FYKU54dhGoIllZA7TkoCqVh8g/QmA/zQrlmTE2ZuJEbBEakok9uLbbNMrJ4ffV5NYpU/gJgDzzA4imbBt1FzVE0GsDzMntH8n03+L3cQ1CYjIBwCaBnhpoqourrhmIoBSAPkh7jMawGgAOLtpoNsRWcsmA7drZPu3P9Z0jRPXJKCqfUO9LiIjAVwJoI+GmLCgqjMAzADK5wkYGiQR2Q5rDsYxc3TQAJR3BPdQVWcXa8i2WCIluzOzT+B5ALUAvF+x1d8nqnqbifEQRYwlUrI7M0cHtTLrs8k+nNApWhPWNiierDI6iCzMzAcxO0VZ26D4YhKgGvFBTJS8uKkMEZGDMQkQETkYm4Mcyi4druwUJYovJgGHCredv1dODtLgvx5Ooh7EVktKVlRYWIjbx47FS889h4YNG5odDtkMkwCFFGyBNCMfznaplVhVbl4eduzahdy8vJB7IRMFwj4BMl1loqn+45sUKLDCwkK8tWgRPC+8gIWLFuHAgQMx32/o9dfHfB+yDyYBIhvLzcuDZ8AA4KKL4OnfH7kx7r9dvVZBzsDmIIdKdIcrm3yMV1kLKJ47FwBQPGoUFl53HW4aMSKqvgGvWsW4cVHfxwj8viQOk4BDhfvHZFSy4IQz4+Xm5cHTuzdQvz5w4gTQoAE8vXpF3TcQqFZhVh8Dvy+JwyRAVYKVvoxcGz8QDgONToHbDc/OnUhbvrzqnAfAxpYtI76X0bUKsg8mAapiVumLVfzozDOw3d7oWgXZB5MAERlaq7A7p/VHMAlQQrDJx9qMrFUYwczvi9P6I5gEKCGStRRF8cHvS+IwCVAVltaJnIdJgKqw9EXkPEwCNua0DiyiRHBajdi0JCAikwAMRvkghH0ARqnqj2bFY0dO68AyAhOndcTzdxHLvZ32XTCzJvC0qv4NAERkLIAHAdxmYjzkAEycxov2gRvP3wV/z+EzLQmo6uFqh3UAqFmxEFH0+MC1N1P7BETkMQA3ADgEoFeI60YDGA0AZzdtmpjgiIgcIK5LSYvIByLyZYCfwQCgqhNVtTmAfAB3BLuPqs5QVZequhpzHZMq9bOy0AHw+knmDiwiMl5cawKq2jfMS2cDWArgoTiGk3Sc1oFlBKeN/LCyeP4u+HsOn5mjg85T1W8rDgcB+NqsWMg5mDiNF+0DN56/C/6ew2dmn8CTItIa5UNEvwdHBhHZEh+49mbm6KA/mvXZRERUjnsMExE5GJMAEZGDMQkQETkYkwARkYMxCRARORiTABGRgzEJEBE5GJMAEZGDMQkQETkYkwARkYMxCRARORiTABGRgzEJEBE5GJMAEZGDMQkQETkYkwARkYMxCRARORiTABGRgzEJEBE5GJMAEZGDMQkQETmYqKrZMURERPYD+N7sOAI4DcAvZgcRJsYaH3aJ1S5xAozVSP+hqo19T9ouCViViLhV1WV2HOFgrPFhl1jtEifAWBOBzUFERA7GJEBE5GBMAsaZYXYAEWCs8WGXWO0SJ8BY4459AkREDsaaABGRgzEJEBE5GJOAgURkkoh8ISKbReQ9ETnT7JiCEZGnReTrinjfEpFTzI4pGBH5k4h8JSIeEbHcEDwRGSAi20TkOxG53+x4ghGRXBHZJyJfmh1LKCLSXERWisjWit/7OLNjCkZEMkVko4h8XhHrI2bHFCn2CRhIROqr6uGK/z8WQLaq3mZyWAGJSH8AK1S1VET+DgCq+leTwwpIRNoC8ACYDuAeVXWbHFIVEUkF8A2AfgD2ACgAMExVt5gaWAAikgPgKIBZqnqh2fEEIyJnADhDVT8VkXoANgG4yqL/pgKgjqoeFZF0AGsAjFPVT0wOLWysCRioMgFUqAPAshlWVd9T1dKKw08ANDMznlBUdauqbjM7jiA6AfhOVXeoajGAuQAGmxxTQKq6GkCh2XHURFV/UtVPK/7/EQBbAZxlblSBabmjFYfpFT+W/bsPhEnAYCLymIjsBjAcwINmxxOmmwC8Y3YQNnUWgN3VjvfAog8sOxKRFgDaA9hgbiTBiUiqiGwGsA/A+6pq2VgDYRKIkIh8ICJfBvgZDACqOlFVmwPIB3CHlWOtuGYigFKUx2uacGK1KAlwzlYlQasSkboAFgC4y6eWbSmqWqaql6C8Nt1JRCzb1BZImtkB2I2q9g3z0tkAlgJ4KI7hhFRTrCIyEsCVAPqoyZ1DEfy7Ws0eAM2rHTcD8KNJsSSNivb1BQDyVXWh2fGEQ1UPishHAAYAsHTne3WsCRhIRM6rdjgIwNdmxVITERkA4K8ABqnqcbPjsbECAOeJSEsRyQBwLYC3TY7J1io6W2cC2Kqqk82OJxQRaVw5sk5EagPoCwv/3QfC0UEGEpEFAFqjfCTL9wBuU9UfzI0qMBH5DkAtAL9WnPrEwiOZrgbwHIDGAA4C2Kyql5kb1W9E5HIAzwJIBZCrqo+ZHFJAIjIHQE+UL3n8M4CHVHWmqUEFICLdAXwM4H9R/rcEABNUdZl5UQUmIu0AvIby330KgPmq+qi5UUWGSYCIyMHYHERE5GBMAkREDsYkQETkYEwCREQOxiRARORgTAJERA7GJEAUByLyrogcFJElZsdCFAqTAFF8PA1ghNlBENWESYAoTCLSsWITnkwRqVOxiUjAxcJU9UMARxIcIlHEuIAcUZhUtUBE3gbwPwBqA3hdVW2zUBhRIEwCRJF5FOWLxhUBGGtyLEQxY3MQUWQaAagLoB6ATJNjIYoZkwBRZGYA+BvKN+H5u8mxEMWMzUFEYRKRGwCUqursig3m14lIb1VdEeDajwG0AVBXRPYAuFlVlyc4ZKIacSlpIiIHY3MQEZGDsTmIKEoichGAPJ/TJ1W1sxnxEEWDzUFERA7G5iAiIgdjEiAicjAmASIiB2MSICJysP8HN+DVwg4oyB8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Degree = 2\n",
    "svm_degree_2 = SVC(kernel='poly', degree=2)\n",
    "svm_degree_2.fit(features, labels)\n",
    "print(\"Polynomial kernel of degree = 2\")\n",
    "print(\"Accuracy:\", svm_degree_2.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_degree_2)\n",
    "\n",
    "# Degree = 4\n",
    "svm_degree_4 = SVC(kernel='poly', degree=4)\n",
    "svm_degree_4.fit(features, labels)\n",
    "print(\"Polynomial kernel of degree = 4\")\n",
    "print(\"Accuracy:\", svm_degree_4.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_degree_4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Experimenting with gammas in the rbf kernel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Loading the two_circles dataset\n",
    "\n",
    "two_circles_data = pd.read_csv('two_circles.csv')\n",
    "features = np.array(two_circles_data[['x_1', 'x_2']])\n",
    "labels = np.array(two_circles_data['y'])\n",
    "utils.plot_points(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gamma = 0.1\n",
      "Accuracy: 0.8772727272727273\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gamma = 1\n",
      "Accuracy: 0.9045454545454545\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gamma = 10\n",
      "Accuracy: 0.9636363636363636\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gamma = 100\n",
      "Accuracy: 0.990909090909091\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# gamma = 0.1\n",
    "svm_gamma_01 = SVC(kernel='rbf', gamma=0.1)\n",
    "svm_gamma_01.fit(features, labels)\n",
    "print(\"Gamma = 0.1\")\n",
    "print(\"Accuracy:\", svm_gamma_01.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_gamma_01)\n",
    "\n",
    "# gamma = 1\n",
    "svm_gamma_1 = SVC(kernel='rbf', gamma=1)\n",
    "svm_gamma_1.fit(features, labels)\n",
    "print(\"Gamma = 1\")\n",
    "print(\"Accuracy:\", svm_gamma_1.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_gamma_1)\n",
    "\n",
    "# gamma = 10\n",
    "svm_gamma_10 = SVC(kernel='rbf', gamma=10)\n",
    "svm_gamma_10.fit(features, labels)\n",
    "print(\"Gamma = 10\")\n",
    "print(\"Accuracy:\", svm_gamma_10.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_gamma_10)\n",
    "\n",
    "# gamma = 100\n",
    "svm_gamma_100 = SVC(kernel='rbf', gamma=100)\n",
    "svm_gamma_100.fit(features, labels)\n",
    "print(\"Gamma = 100\")\n",
    "print(\"Accuracy:\", svm_gamma_100.score(features, labels))\n",
    "utils.plot_model(features, labels, svm_gamma_100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
